A random sample of size n = 161 is taken from a population of size N = 4,380 with mean ? = -80 and variance ?² = 192. [You may find it useful to reference the z table.] a-1. Is it necessary to apply the finite population correction factor? Yes No a-2. Calculate the expected value and the standard error of the sample mean. (Negative values should be indicated by a minus sign. Round "expected value" to a whole number and "standard error" to 2 decimal places.) Expected value Standard error b. What is the probability that the sample mean is between -82 and -78? (Round final answer to 4 decimal places.) Probability
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To determine whether it is necessary to apply the finite population correction factor, we need to check if the sample size is large enough relative to the population size. The general rule is that if the sample size is less than 5% of the population size (n/N < Show more…
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